Abstract
We investigate the class of numerical semigroups verifying the property ρ i + 1 − ρ i ≥ 2 for every two consecutive elements smaller than the conductor. These semigroups generalize Arf semigroups.
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Munuera, C., Torres, F., Villanueva, J. (2009). Sparse Numerical Semigroups. In: Bras-Amorós, M., Høholdt, T. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2009. Lecture Notes in Computer Science, vol 5527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02181-7_3
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DOI: https://doi.org/10.1007/978-3-642-02181-7_3
Publisher Name: Springer, Berlin, Heidelberg
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